1,542 research outputs found
Holographic thermalization with a chemical potential in Gauss-Bonnet gravity
Holographic thermalization is studied in the framework of
Einstein-Maxwell-Gauss-Bonnet gravity. We use the two-point correlation
function and expectation value of Wilson loop, which are dual to the
renormalized geodesic length and minimal area surface in the bulk, to probe the
thermalization. The numeric result shows that larger the Gauss-Bonnet
coefficient is, shorter the thermalization time is, and larger the charge is,
longer the thermalization time is, which implies that the Gauss-Bonnet
coefficient can accelerate the thermalization while the charge has an opposite
effect. In addition, we obtain the functions with respect to the thermalization
time for both the thermalization probes at a fixed charge and Gauss-Bonnet
coefficient, and on the basis of these functions, we obtain the thermalization
velocity, which shows that the thermalization process is non-monotonic. At the
middle and later periods of the thermalization process, we find that there is a
phase transition point, which divides the thermalization into an acceleration
phase and a deceleration phase. We also study the effect of the charge and
Gauss-Bonnet coefficient on the phase transition point.Comment: 23 pages, many figures,footnote 4 is modified. arXiv admin note:
substantial text overlap with arXiv:1305.484
Holographic thermalization in noncommutative geometry
Gravitational collapse of a shell of dust in noncommutative geometry is
probed by the renormalized geodesic length, which is dual to probe the
thermalization by the two-point correlation function in the dual conformal
field theory. We find that larger the noncommutative parameter is, longer the
thermalization time is, which implies that the large noncommutative parameter
delays the thermalization process. We also investigate how the noncommutative
parameter affects the thermalization velocity and thermalization acceleration.Comment: some materials have been delete
Van der Waals-like phase transition from holographic entanglement entropy in Lorentz breaking massive gravity
In this paper, phase transition of AdS black holes in lorentz breaking
massive gravity has been studied in the framework of holography. We find that
there is a first order phase transition(FPT) and second order phase
transition(SPT) both in Bekenstein-Hawking entropy(BHE)-temperature plane and
holographic entanglement entropy(HEE)-temperature plane. Furthermore, for the
FPT, the equal area law is checked and for the SPT, the critical exponent of
the heat capacity is also computed. Our results confirm that the phase
structure of HEE is similar to that of BHE in lorentz breaking massive gravity,
which implies that HEE and BHE have some potential underlying relationship.Comment: 10 pages, 10 figure
Mutual correlation in the shock wave geometry
We probe the shock wave geometry with the mutual correlation in a spherically
symmetric Reissner Nordstr\"om AdS black hole on the basis of the gauge/gravity
duality. In the static background, we find that the regions living on the
boundary of the AdS black holes are correlated provided the considered regions
on the boundary are large enough. We also investigate the effect of the charge
on the mutual correlation and find that the bigger the value of the charge is,
the smaller the value of the mutual correlation will to be. As a small
perturbation is added at the AdS boundary, the horizon shifts and a dynamical
shock wave geometry forms after long time enough. In this dynamic background,
we find that the greater the shift of the horizon is, the smaller the mutual
correlation will to be. Especially for the case that the shift is large enough,
the mutual correlation vanishes, which implies that the considered regions on
the boundary are uncorrelated. The effect of the charge on the mutual
correlation in this dynamic background is found to be the same as that in the
static background.Comment: 10 page
Well-posedness of the fractional Ginzburg-Landau equation
In this paper, we investigate the well-posedness of the real fractional Ginzburg-Landau equation in several different function spaces, which have been used to deal with the Burgers' equation, the semilinear heat equation, the Navier-Stokes equations, etc. The long time asymptotic behavior of the nonnegative global solutions is also studied in details
Canonical interpretation of and in the family
Inspired by the new resonance , we calculate the masses and
two-body OZI-allowed strong decays of the higher vector bottomonium sates
within both screened and linear potential models. We discuss the possibilities
of and as mixed states via the mixing. Our
results suggest that and might be explained as
mixed states between - and -wave vector states. The
and resonances may correspond to the mixed states
dominated by the - and -wave components, respectively. The mass and the
strong decay behaviors of the resonance are consistent with
the assignment of the state in the potential models.Comment: 9 pages, 4 figures. More discussions are adde
Full-heavy tetraquark states and their evidences in the LHCb di- spectrum
In the framework of a nonrelativistic potential quark model (NRPQM) for heavy
quark system, we investigate the mass spectrum of the -wave tetraquark
states of and . The Hamiltonian contains a
linear confinement potential and parameterized one-gluon-exchange potential
which includes a Coulomb type potential and spin-dependent potentials. The
full-heavy tetraquark system is solved by a harmonic oscillator expansion
method. With the same parameters fixed by the charmonium and bottomonium
spectra, we obtained the full spectra for the and -wave heavy tetraquark
states. We find that the narrow structure around 6.9 GeV recently observed at
LHCb in the di- invariant mass spectrum can be naturally explained by
the -wave states. Meanwhile, the observed broad structure
around GeV can be consistently explained by the -wave states
around 6.5 GeV predicted in our previous work. Some contributions from those
suppressed low-lying -wave states around 6.7 GeV are also possible. Other
decay channels are implied in such a scenario and they can be investigated by
future experimental analysis. Considering the large discovery potential at
LHCb, we give our predictions of the -wave states which
can be searched for in the future.Comment: 5 page, 1 figur
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